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The study of plasmonic structures continues to be at the forefront of research in nanotechnology and condensed matter physics. Here, we present a numerical model we have created and verified to characterize the frequency dependence of the effective magnetic permeability and permittivity of a core-shell (CS) nanostructure composed of a magnetic core and a plasmonic shell with well-controlled dimensions for different geometries and polarizations. We analyze several possible shell shapes involving sharp edges and tips. The simulations in this paper are important because magnetoplasmonic CS nanostructures are currently being explored as candidates for resonant optical nanoantennas for biosensing applications.